What is the Least Common Multiple of 64736 and 64753?

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 64736 and 64753 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64736 and 64753, than apply into the LCM equation.

GCF(64736,64753) = 17
LCM(64736,64753) = ( 64736 × 64753) / 17
LCM(64736,64753) = 4191850208 / 17
LCM(64736,64753) = 246579424

Least Common Multiple (LCM) of 64736 and 64753 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64736 and 64753. First we will calculate the prime factors of 64736 and 64753.

Prime Factorization of 64736

Prime Factorization of 64753

Now multiplying the highest exponent prime factors to calculate the LCM of 64736 and 64753.

LCM(64736,64753) = 2⁵ × 7¹ × 17² × 13¹ × 293¹
LCM(64736,64753) = 246579424