What is the Least Common Multiple of 69415 and 69435?

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 69415 and 69435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69415 and 69435, than apply into the LCM equation.

GCF(69415,69435) = 5
LCM(69415,69435) = ( 69415 × 69435) / 5
LCM(69415,69435) = 4819830525 / 5
LCM(69415,69435) = 963966105

Least Common Multiple (LCM) of 69415 and 69435 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69415 and 69435. First we will calculate the prime factors of 69415 and 69435.

Prime Factorization of 69415

Prime Factorization of 69435

Now multiplying the highest exponent prime factors to calculate the LCM of 69415 and 69435.

LCM(69415,69435) = 5¹ × 13883¹ × 3² × 1543¹
LCM(69415,69435) = 963966105