What is the Least Common Multiple of 64983 and 64998?

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 64983 and 64998 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64983 and 64998, than apply into the LCM equation.

GCF(64983,64998) = 3
LCM(64983,64998) = ( 64983 × 64998) / 3
LCM(64983,64998) = 4223765034 / 3
LCM(64983,64998) = 1407921678

Least Common Multiple (LCM) of 64983 and 64998 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64983 and 64998. First we will calculate the prime factors of 64983 and 64998.

Prime Factorization of 64983

Prime Factorization of 64998

Now multiplying the highest exponent prime factors to calculate the LCM of 64983 and 64998.

LCM(64983,64998) = 3² × 21661¹ × 2¹ × 23¹ × 157¹
LCM(64983,64998) = 1407921678