What is the Least Common Multiple of 77152 and 77169?

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 77169 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 77169, than apply into the LCM equation.

GCF(77152,77169) = 1
LCM(77152,77169) = ( 77152 × 77169) / 1
LCM(77152,77169) = 5953742688 / 1
LCM(77152,77169) = 5953742688

Least Common Multiple (LCM) of 77152 and 77169 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77152 and 77169. First we will calculate the prime factors of 77152 and 77169.

Prime Factorization of 77152

Prime Factorization of 77169

Now multiplying the highest exponent prime factors to calculate the LCM of 77152 and 77169.

LCM(77152,77169) = 2⁵ × 2411¹ × 3¹ × 29¹ × 887¹
LCM(77152,77169) = 5953742688