What is the Least Common Multiple of 64790 and 64801?

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 64790 and 64801 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64790 and 64801, than apply into the LCM equation.

GCF(64790,64801) = 11
LCM(64790,64801) = ( 64790 × 64801) / 11
LCM(64790,64801) = 4198456790 / 11
LCM(64790,64801) = 381677890

Least Common Multiple (LCM) of 64790 and 64801 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64790 and 64801. First we will calculate the prime factors of 64790 and 64801.

Prime Factorization of 64790

Prime Factorization of 64801

Now multiplying the highest exponent prime factors to calculate the LCM of 64790 and 64801.

LCM(64790,64801) = 2¹ × 5¹ × 11¹ × 19¹ × 31¹ × 43¹ × 137¹
LCM(64790,64801) = 381677890