What is the Least Common Multiple of 77116 and 77126?

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 77116 and 77126 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77116 and 77126, than apply into the LCM equation.

GCF(77116,77126) = 2
LCM(77116,77126) = ( 77116 × 77126) / 2
LCM(77116,77126) = 5947648616 / 2
LCM(77116,77126) = 2973824308

Least Common Multiple (LCM) of 77116 and 77126 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77116 and 77126. First we will calculate the prime factors of 77116 and 77126.

Prime Factorization of 77116

Prime Factorization of 77126

Now multiplying the highest exponent prime factors to calculate the LCM of 77116 and 77126.

LCM(77116,77126) = 2² × 13¹ × 1483¹ × 7² × 787¹
LCM(77116,77126) = 2973824308