What is the Least Common Multiple of 77192 and 77211?

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 77192 and 77211 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77192 and 77211, than apply into the LCM equation.

GCF(77192,77211) = 1
LCM(77192,77211) = ( 77192 × 77211) / 1
LCM(77192,77211) = 5960071512 / 1
LCM(77192,77211) = 5960071512

Least Common Multiple (LCM) of 77192 and 77211 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77192 and 77211. First we will calculate the prime factors of 77192 and 77211.

Prime Factorization of 77192

Prime Factorization of 77211

Now multiplying the highest exponent prime factors to calculate the LCM of 77192 and 77211.

LCM(77192,77211) = 2³ × 9649¹ × 3² × 23¹ × 373¹
LCM(77192,77211) = 5960071512