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What is the Least Common Multiple of 71225 and 71240?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 71225 and 71240 is 1014813800.

LCM(71225,71240) = 1014813800

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Least Common Multiple of 71225 and 71240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71225 and 71240, than apply into the LCM equation.

GCF(71225,71240) = 5
LCM(71225,71240) = ( 71225 × 71240) / 5
LCM(71225,71240) = 5074069000 / 5
LCM(71225,71240) = 1014813800

Least Common Multiple (LCM) of 71225 and 71240 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71225 and 71240. First we will calculate the prime factors of 71225 and 71240.

Prime Factorization of 71225

Prime factors of 71225 are 5, 7, 11, 37. Prime factorization of 71225 in exponential form is:

71225 = 52 × 71 × 111 × 371

Prime Factorization of 71240

Prime factors of 71240 are 2, 5, 13, 137. Prime factorization of 71240 in exponential form is:

71240 = 23 × 51 × 131 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 71225 and 71240.

LCM(71225,71240) = 52 × 71 × 111 × 371 × 23 × 131 × 1371
LCM(71225,71240) = 1014813800

Related Least Common Multiples of 71225

Related Least Common Multiples of 71240