What is the Least Common Multiple of 64950 and 64970?

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 64950 and 64970 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64950 and 64970, than apply into the LCM equation.

GCF(64950,64970) = 10
LCM(64950,64970) = ( 64950 × 64970) / 10
LCM(64950,64970) = 4219801500 / 10
LCM(64950,64970) = 421980150

Least Common Multiple (LCM) of 64950 and 64970 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64950 and 64970. First we will calculate the prime factors of 64950 and 64970.

Prime Factorization of 64950

Prime Factorization of 64970

Now multiplying the highest exponent prime factors to calculate the LCM of 64950 and 64970.

LCM(64950,64970) = 2¹ × 3¹ × 5² × 433¹ × 73¹ × 89¹
LCM(64950,64970) = 421980150