What is the Least Common Multiple of 64735 and 64746?

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 64735 and 64746 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64735 and 64746, than apply into the LCM equation.

GCF(64735,64746) = 11
LCM(64735,64746) = ( 64735 × 64746) / 11
LCM(64735,64746) = 4191332310 / 11
LCM(64735,64746) = 381030210

Least Common Multiple (LCM) of 64735 and 64746 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64735 and 64746. First we will calculate the prime factors of 64735 and 64746.

Prime Factorization of 64735

Prime Factorization of 64746

Now multiplying the highest exponent prime factors to calculate the LCM of 64735 and 64746.

LCM(64735,64746) = 5¹ × 11² × 107¹ × 2¹ × 3³ × 109¹
LCM(64735,64746) = 381030210