What is the Least Common Multiple of 64467 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 64467 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 64467 and 64480, than apply into the LCM equation.

GCF(64467,64480) = 13
LCM(64467,64480) = ( 64467 × 64480) / 13
LCM(64467,64480) = 4156832160 / 13
LCM(64467,64480) = 319756320

Least Common Multiple (LCM) of 64467 and 64480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64467 and 64480. First we will calculate the prime factors of 64467 and 64480.

Prime Factorization of 64467

Prime Factorization of 64480

Now multiplying the highest exponent prime factors to calculate the LCM of 64467 and 64480.

LCM(64467,64480) = 3² × 13¹ × 19¹ × 29¹ × 2⁵ × 5¹ × 31¹
LCM(64467,64480) = 319756320