What is the Least Common Multiple of 65658 and 65666?

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 65658 and 65666 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65658 and 65666, than apply into the LCM equation.

GCF(65658,65666) = 2
LCM(65658,65666) = ( 65658 × 65666) / 2
LCM(65658,65666) = 4311498228 / 2
LCM(65658,65666) = 2155749114

Least Common Multiple (LCM) of 65658 and 65666 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65658 and 65666. First we will calculate the prime factors of 65658 and 65666.

Prime Factorization of 65658

Prime Factorization of 65666

Now multiplying the highest exponent prime factors to calculate the LCM of 65658 and 65666.

LCM(65658,65666) = 2¹ × 3¹ × 31¹ × 353¹ × 32833¹
LCM(65658,65666) = 2155749114