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What is the Least Common Multiple of 71220 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 71220 and 71240 is 253685640.

LCM(71220,71240) = 253685640

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Least Common Multiple of 71220 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 71220 and 71240, than apply into the LCM equation.

GCF(71220,71240) = 20
LCM(71220,71240) = ( 71220 × 71240) / 20
LCM(71220,71240) = 5073712800 / 20
LCM(71220,71240) = 253685640

Least Common Multiple (LCM) of 71220 and 71240 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71220 and 71240. First we will calculate the prime factors of 71220 and 71240.

Prime Factorization of 71220

Prime factors of 71220 are 2, 3, 5, 1187. Prime factorization of 71220 in exponential form is:

71220 = 22 × 31 × 51 × 11871

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 71220 and 71240.

LCM(71220,71240) = 23 × 31 × 51 × 11871 × 131 × 1371
LCM(71220,71240) = 253685640