What is the Least Common Multiple of 64960 and 64974?

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 64960 and 64974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64960 and 64974, than apply into the LCM equation.

GCF(64960,64974) = 14
LCM(64960,64974) = ( 64960 × 64974) / 14
LCM(64960,64974) = 4220711040 / 14
LCM(64960,64974) = 301479360

Least Common Multiple (LCM) of 64960 and 64974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64960 and 64974. First we will calculate the prime factors of 64960 and 64974.

Prime Factorization of 64960

Prime Factorization of 64974

Now multiplying the highest exponent prime factors to calculate the LCM of 64960 and 64974.

LCM(64960,64974) = 2⁶ × 5¹ × 7² × 29¹ × 3¹ × 13¹ × 17¹
LCM(64960,64974) = 301479360