What is the Least Common Multiple of 64417 and 64436?

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 64417 and 64436 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64417 and 64436, than apply into the LCM equation.

GCF(64417,64436) = 1
LCM(64417,64436) = ( 64417 × 64436) / 1
LCM(64417,64436) = 4150773812 / 1
LCM(64417,64436) = 4150773812

Least Common Multiple (LCM) of 64417 and 64436 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64417 and 64436. First we will calculate the prime factors of 64417 and 64436.

Prime Factorization of 64417

Prime Factorization of 64436

Now multiplying the highest exponent prime factors to calculate the LCM of 64417 and 64436.

LCM(64417,64436) = 37¹ × 1741¹ × 2² × 89¹ × 181¹
LCM(64417,64436) = 4150773812