What is the Least Common Multiple of 64435 and 64446?

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 64435 and 64446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64435 and 64446, than apply into the LCM equation.

GCF(64435,64446) = 1
LCM(64435,64446) = ( 64435 × 64446) / 1
LCM(64435,64446) = 4152578010 / 1
LCM(64435,64446) = 4152578010

Least Common Multiple (LCM) of 64435 and 64446 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64435 and 64446. First we will calculate the prime factors of 64435 and 64446.

Prime Factorization of 64435

Prime Factorization of 64446

Now multiplying the highest exponent prime factors to calculate the LCM of 64435 and 64446.

LCM(64435,64446) = 5¹ × 7² × 263¹ × 2¹ × 3¹ × 23¹ × 467¹
LCM(64435,64446) = 4152578010