What is the Least Common Multiple of 64114 and 64130?

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 64114 and 64130 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64114 and 64130, than apply into the LCM equation.

GCF(64114,64130) = 2
LCM(64114,64130) = ( 64114 × 64130) / 2
LCM(64114,64130) = 4111630820 / 2
LCM(64114,64130) = 2055815410

Least Common Multiple (LCM) of 64114 and 64130 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64114 and 64130. First we will calculate the prime factors of 64114 and 64130.

Prime Factorization of 64114

Prime Factorization of 64130

Now multiplying the highest exponent prime factors to calculate the LCM of 64114 and 64130.

LCM(64114,64130) = 2¹ × 32057¹ × 5¹ × 11² × 53¹
LCM(64114,64130) = 2055815410