What is the Least Common Multiple of 72415 and 72434?

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 72415 and 72434 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72415 and 72434, than apply into the LCM equation.

GCF(72415,72434) = 1
LCM(72415,72434) = ( 72415 × 72434) / 1
LCM(72415,72434) = 5245308110 / 1
LCM(72415,72434) = 5245308110

Least Common Multiple (LCM) of 72415 and 72434 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72415 and 72434. First we will calculate the prime factors of 72415 and 72434.

Prime Factorization of 72415

Prime Factorization of 72434

Now multiplying the highest exponent prime factors to calculate the LCM of 72415 and 72434.

LCM(72415,72434) = 5¹ × 7¹ × 2069¹ × 2¹ × 36217¹
LCM(72415,72434) = 5245308110