What is the Least Common Multiple of 89740 and 89755?

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 89740 and 89755 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89740 and 89755, than apply into the LCM equation.

GCF(89740,89755) = 5
LCM(89740,89755) = ( 89740 × 89755) / 5
LCM(89740,89755) = 8054613700 / 5
LCM(89740,89755) = 1610922740

Least Common Multiple (LCM) of 89740 and 89755 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89740 and 89755. First we will calculate the prime factors of 89740 and 89755.

Prime Factorization of 89740

Prime Factorization of 89755

Now multiplying the highest exponent prime factors to calculate the LCM of 89740 and 89755.

LCM(89740,89755) = 2² × 5¹ × 7¹ × 641¹ × 29¹ × 619¹
LCM(89740,89755) = 1610922740