What is the Least Common Multiple of 77136 and 77142?

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 77136 and 77142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77136 and 77142, than apply into the LCM equation.

GCF(77136,77142) = 6
LCM(77136,77142) = ( 77136 × 77142) / 6
LCM(77136,77142) = 5950425312 / 6
LCM(77136,77142) = 991737552

Least Common Multiple (LCM) of 77136 and 77142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77136 and 77142. First we will calculate the prime factors of 77136 and 77142.

Prime Factorization of 77136

Prime Factorization of 77142

Now multiplying the highest exponent prime factors to calculate the LCM of 77136 and 77142.

LCM(77136,77142) = 2⁴ × 3¹ × 1607¹ × 13¹ × 23¹ × 43¹
LCM(77136,77142) = 991737552