What is the Least Common Multiple of 76160 and 76172?

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 of 76160 and 76172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76160 and 76172, than apply into the LCM equation.

GCF(76160,76172) = 4
LCM(76160,76172) = ( 76160 × 76172) / 4
LCM(76160,76172) = 5801259520 / 4
LCM(76160,76172) = 1450314880

Least Common Multiple (LCM) of 76160 and 76172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76160 and 76172. First we will calculate the prime factors of 76160 and 76172.

Prime Factorization of 76160

Prime Factorization of 76172

Now multiplying the highest exponent prime factors to calculate the LCM of 76160 and 76172.

LCM(76160,76172) = 2⁷ × 5¹ × 7¹ × 17¹ × 137¹ × 139¹
LCM(76160,76172) = 1450314880