What is the Least Common Multiple of 76146 and 76160?

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 76146 and 76160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76146 and 76160, than apply into the LCM equation.

GCF(76146,76160) = 14
LCM(76146,76160) = ( 76146 × 76160) / 14
LCM(76146,76160) = 5799279360 / 14
LCM(76146,76160) = 414234240

Least Common Multiple (LCM) of 76146 and 76160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76146 and 76160. First we will calculate the prime factors of 76146 and 76160.

Prime Factorization of 76146

Prime Factorization of 76160

Now multiplying the highest exponent prime factors to calculate the LCM of 76146 and 76160.

LCM(76146,76160) = 2⁷ × 3¹ × 7³ × 37¹ × 5¹ × 17¹
LCM(76146,76160) = 414234240