What is the Least Common Multiple of 64460 and 64480?

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 64460 and 64480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64460 and 64480, than apply into the LCM equation.

GCF(64460,64480) = 20
LCM(64460,64480) = ( 64460 × 64480) / 20
LCM(64460,64480) = 4156380800 / 20
LCM(64460,64480) = 207819040

Least Common Multiple (LCM) of 64460 and 64480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64460 and 64480. First we will calculate the prime factors of 64460 and 64480.

Prime Factorization of 64460

Prime Factorization of 64480

Now multiplying the highest exponent prime factors to calculate the LCM of 64460 and 64480.

LCM(64460,64480) = 2⁵ × 5¹ × 11¹ × 293¹ × 13¹ × 31¹
LCM(64460,64480) = 207819040