What is the Least Common Multiple of 87954 and 87970?

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 87954 and 87970 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87954 and 87970, than apply into the LCM equation.

GCF(87954,87970) = 2
LCM(87954,87970) = ( 87954 × 87970) / 2
LCM(87954,87970) = 7737313380 / 2
LCM(87954,87970) = 3868656690

Least Common Multiple (LCM) of 87954 and 87970 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87954 and 87970. First we will calculate the prime factors of 87954 and 87970.

Prime Factorization of 87954

Prime Factorization of 87970

Now multiplying the highest exponent prime factors to calculate the LCM of 87954 and 87970.

LCM(87954,87970) = 2¹ × 3¹ × 107¹ × 137¹ × 5¹ × 19¹ × 463¹
LCM(87954,87970) = 3868656690