What is the Least Common Multiple of 86921 and 86938?

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 86921 and 86938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86921 and 86938, than apply into the LCM equation.

GCF(86921,86938) = 17
LCM(86921,86938) = ( 86921 × 86938) / 17
LCM(86921,86938) = 7556737898 / 17
LCM(86921,86938) = 444513994

Least Common Multiple (LCM) of 86921 and 86938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86921 and 86938. First we will calculate the prime factors of 86921 and 86938.

Prime Factorization of 86921

Prime Factorization of 86938

Now multiplying the highest exponent prime factors to calculate the LCM of 86921 and 86938.

LCM(86921,86938) = 17¹ × 5113¹ × 2¹ × 2557¹
LCM(86921,86938) = 444513994