What is the Least Common Multiple of 77572 and 77583?

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 77572 and 77583 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77572 and 77583, than apply into the LCM equation.

GCF(77572,77583) = 11
LCM(77572,77583) = ( 77572 × 77583) / 11
LCM(77572,77583) = 6018268476 / 11
LCM(77572,77583) = 547115316

Least Common Multiple (LCM) of 77572 and 77583 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77572 and 77583. First we will calculate the prime factors of 77572 and 77583.

Prime Factorization of 77572

Prime Factorization of 77583

Now multiplying the highest exponent prime factors to calculate the LCM of 77572 and 77583.

LCM(77572,77583) = 2² × 11¹ × 41¹ × 43¹ × 3¹ × 2351¹
LCM(77572,77583) = 547115316