What is the Least Common Multiple of 64772 and 64787?

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 64772 and 64787 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64772 and 64787, than apply into the LCM equation.

GCF(64772,64787) = 1
LCM(64772,64787) = ( 64772 × 64787) / 1
LCM(64772,64787) = 4196383564 / 1
LCM(64772,64787) = 4196383564

Least Common Multiple (LCM) of 64772 and 64787 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64772 and 64787. First we will calculate the prime factors of 64772 and 64787.

Prime Factorization of 64772

Prime Factorization of 64787

Now multiplying the highest exponent prime factors to calculate the LCM of 64772 and 64787.

LCM(64772,64787) = 2² × 16193¹ × 17¹ × 37¹ × 103¹
LCM(64772,64787) = 4196383564