What is the Least Common Multiple of 64190 and 64197?

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 64190 and 64197 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64190 and 64197, than apply into the LCM equation.

GCF(64190,64197) = 7
LCM(64190,64197) = ( 64190 × 64197) / 7
LCM(64190,64197) = 4120805430 / 7
LCM(64190,64197) = 588686490

Least Common Multiple (LCM) of 64190 and 64197 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64190 and 64197. First we will calculate the prime factors of 64190 and 64197.

Prime Factorization of 64190

Prime Factorization of 64197

Now multiplying the highest exponent prime factors to calculate the LCM of 64190 and 64197.

LCM(64190,64197) = 2¹ × 5¹ × 7² × 131¹ × 3² × 1019¹
LCM(64190,64197) = 588686490