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What is the Least Common Multiple of 73145 and 73160?

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 73145 and 73160 is 1070257640.

LCM(73145,73160) = 1070257640

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Least Common Multiple of 73145 and 73160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73145 and 73160, than apply into the LCM equation.

GCF(73145,73160) = 5
LCM(73145,73160) = ( 73145 × 73160) / 5
LCM(73145,73160) = 5351288200 / 5
LCM(73145,73160) = 1070257640

Least Common Multiple (LCM) of 73145 and 73160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73145 and 73160. First we will calculate the prime factors of 73145 and 73160.

Prime Factorization of 73145

Prime factors of 73145 are 5, 14629. Prime factorization of 73145 in exponential form is:

73145 = 51 × 146291

Prime Factorization of 73160

Prime factors of 73160 are 2, 5, 31, 59. Prime factorization of 73160 in exponential form is:

73160 = 23 × 51 × 311 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 73145 and 73160.

LCM(73145,73160) = 51 × 146291 × 23 × 311 × 591
LCM(73145,73160) = 1070257640