What is the Least Common Multiple of 94415 and 94435?

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 94415 and 94435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94415 and 94435, than apply into the LCM equation.

GCF(94415,94435) = 5
LCM(94415,94435) = ( 94415 × 94435) / 5
LCM(94415,94435) = 8916080525 / 5
LCM(94415,94435) = 1783216105

Least Common Multiple (LCM) of 94415 and 94435 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94415 and 94435. First we will calculate the prime factors of 94415 and 94435.

Prime Factorization of 94415

Prime Factorization of 94435

Now multiplying the highest exponent prime factors to calculate the LCM of 94415 and 94435.

LCM(94415,94435) = 5¹ × 23¹ × 821¹ × 11¹ × 17¹ × 101¹
LCM(94415,94435) = 1783216105