What is the Least Common Multiple of 77620 and 77634?

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 77620 and 77634 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77620 and 77634, than apply into the LCM equation.

GCF(77620,77634) = 2
LCM(77620,77634) = ( 77620 × 77634) / 2
LCM(77620,77634) = 6025951080 / 2
LCM(77620,77634) = 3012975540

Least Common Multiple (LCM) of 77620 and 77634 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77620 and 77634. First we will calculate the prime factors of 77620 and 77634.

Prime Factorization of 77620

Prime Factorization of 77634

Now multiplying the highest exponent prime factors to calculate the LCM of 77620 and 77634.

LCM(77620,77634) = 2² × 5¹ × 3881¹ × 3² × 19¹ × 227¹
LCM(77620,77634) = 3012975540