What is the Least Common Multiple of 75415 and 75421?

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 75415 and 75421 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75415 and 75421, than apply into the LCM equation.

GCF(75415,75421) = 1
LCM(75415,75421) = ( 75415 × 75421) / 1
LCM(75415,75421) = 5687874715 / 1
LCM(75415,75421) = 5687874715

Least Common Multiple (LCM) of 75415 and 75421 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75415 and 75421. First we will calculate the prime factors of 75415 and 75421.

Prime Factorization of 75415

Prime Factorization of 75421

Now multiplying the highest exponent prime factors to calculate the LCM of 75415 and 75421.

LCM(75415,75421) = 5¹ × 15083¹ × 199¹ × 379¹
LCM(75415,75421) = 5687874715