What is the Least Common Multiple of 90757 and 90767?

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 90757 and 90767 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90757 and 90767, than apply into the LCM equation.

GCF(90757,90767) = 1
LCM(90757,90767) = ( 90757 × 90767) / 1
LCM(90757,90767) = 8237740619 / 1
LCM(90757,90767) = 8237740619

Least Common Multiple (LCM) of 90757 and 90767 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90757 and 90767. First we will calculate the prime factors of 90757 and 90767.

Prime Factorization of 90757

Prime Factorization of 90767

Now multiplying the highest exponent prime factors to calculate the LCM of 90757 and 90767.

LCM(90757,90767) = 47¹ × 1931¹ × 139¹ × 653¹
LCM(90757,90767) = 8237740619