What is the Least Common Multiple of 87954 and 87967?

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 87967 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 87967, than apply into the LCM equation.

GCF(87954,87967) = 1
LCM(87954,87967) = ( 87954 × 87967) / 1
LCM(87954,87967) = 7737049518 / 1
LCM(87954,87967) = 7737049518

Least Common Multiple (LCM) of 87954 and 87967 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87954 and 87967. First we will calculate the prime factors of 87954 and 87967.

Prime Factorization of 87954

Prime Factorization of 87967

Now multiplying the highest exponent prime factors to calculate the LCM of 87954 and 87967.

LCM(87954,87967) = 2¹ × 3¹ × 107¹ × 137¹ × 11² × 727¹
LCM(87954,87967) = 7737049518