What is the Least Common Multiple of 64921 and 64940?

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 64921 and 64940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64921 and 64940, than apply into the LCM equation.

GCF(64921,64940) = 1
LCM(64921,64940) = ( 64921 × 64940) / 1
LCM(64921,64940) = 4215969740 / 1
LCM(64921,64940) = 4215969740

Least Common Multiple (LCM) of 64921 and 64940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64921 and 64940. First we will calculate the prime factors of 64921 and 64940.

Prime Factorization of 64921

Prime Factorization of 64940

Now multiplying the highest exponent prime factors to calculate the LCM of 64921 and 64940.

LCM(64921,64940) = 64921¹ × 2² × 5¹ × 17¹ × 191¹
LCM(64921,64940) = 4215969740