What is the Least Common Multiple of 94605 and 94621?

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 94605 and 94621 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94605 and 94621, than apply into the LCM equation.

GCF(94605,94621) = 1
LCM(94605,94621) = ( 94605 × 94621) / 1
LCM(94605,94621) = 8951619705 / 1
LCM(94605,94621) = 8951619705

Least Common Multiple (LCM) of 94605 and 94621 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94605 and 94621. First we will calculate the prime factors of 94605 and 94621.

Prime Factorization of 94605

Prime Factorization of 94621

Now multiplying the highest exponent prime factors to calculate the LCM of 94605 and 94621.

LCM(94605,94621) = 3¹ × 5¹ × 7¹ × 17¹ × 53¹ × 94621¹
LCM(94605,94621) = 8951619705