What is the Least Common Multiple of 77152 and 77172?

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 77152 and 77172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77152 and 77172, than apply into the LCM equation.

GCF(77152,77172) = 4
LCM(77152,77172) = ( 77152 × 77172) / 4
LCM(77152,77172) = 5953974144 / 4
LCM(77152,77172) = 1488493536

Least Common Multiple (LCM) of 77152 and 77172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77152 and 77172. First we will calculate the prime factors of 77152 and 77172.

Prime Factorization of 77152

Prime Factorization of 77172

Now multiplying the highest exponent prime factors to calculate the LCM of 77152 and 77172.

LCM(77152,77172) = 2⁵ × 2411¹ × 3¹ × 59¹ × 109¹
LCM(77152,77172) = 1488493536