What is the Least Common Multiple of 97701 and 97707?

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 97701 and 97707 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97701 and 97707, than apply into the LCM equation.

GCF(97701,97707) = 3
LCM(97701,97707) = ( 97701 × 97707) / 3
LCM(97701,97707) = 9546071607 / 3
LCM(97701,97707) = 3182023869

Least Common Multiple (LCM) of 97701 and 97707 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97701 and 97707. First we will calculate the prime factors of 97701 and 97707.

Prime Factorization of 97701

Prime Factorization of 97707

Now multiplying the highest exponent prime factors to calculate the LCM of 97701 and 97707.

LCM(97701,97707) = 3¹ × 29¹ × 1123¹ × 32569¹
LCM(97701,97707) = 3182023869