What is the Least Common Multiple of 64036 and 64042?

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 64036 and 64042 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64036 and 64042, than apply into the LCM equation.

GCF(64036,64042) = 2
LCM(64036,64042) = ( 64036 × 64042) / 2
LCM(64036,64042) = 4100993512 / 2
LCM(64036,64042) = 2050496756

Least Common Multiple (LCM) of 64036 and 64042 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64036 and 64042. First we will calculate the prime factors of 64036 and 64042.

Prime Factorization of 64036

Prime Factorization of 64042

Now multiplying the highest exponent prime factors to calculate the LCM of 64036 and 64042.

LCM(64036,64042) = 2² × 7¹ × 2287¹ × 11¹ × 41¹ × 71¹
LCM(64036,64042) = 2050496756