What is the Least Common Multiple of 64233 and 64251?

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 64233 and 64251 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64233 and 64251, than apply into the LCM equation.

GCF(64233,64251) = 9
LCM(64233,64251) = ( 64233 × 64251) / 9
LCM(64233,64251) = 4127034483 / 9
LCM(64233,64251) = 458559387

Least Common Multiple (LCM) of 64233 and 64251 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64233 and 64251. First we will calculate the prime factors of 64233 and 64251.

Prime Factorization of 64233

Prime Factorization of 64251

Now multiplying the highest exponent prime factors to calculate the LCM of 64233 and 64251.

LCM(64233,64251) = 3⁴ × 13¹ × 61¹ × 11² × 59¹
LCM(64233,64251) = 458559387