What is the Least Common Multiple of 77176 and 77196?

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 77176 and 77196 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77176 and 77196, than apply into the LCM equation.

GCF(77176,77196) = 4
LCM(77176,77196) = ( 77176 × 77196) / 4
LCM(77176,77196) = 5957678496 / 4
LCM(77176,77196) = 1489419624

Least Common Multiple (LCM) of 77176 and 77196 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77176 and 77196. First we will calculate the prime factors of 77176 and 77196.

Prime Factorization of 77176

Prime Factorization of 77196

Now multiplying the highest exponent prime factors to calculate the LCM of 77176 and 77196.

LCM(77176,77196) = 2³ × 11¹ × 877¹ × 3¹ × 7¹ × 919¹
LCM(77176,77196) = 1489419624