What is the Least Common Multiple of 75421 and 75437?

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 75421 and 75437 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75421 and 75437, than apply into the LCM equation.

GCF(75421,75437) = 1
LCM(75421,75437) = ( 75421 × 75437) / 1
LCM(75421,75437) = 5689533977 / 1
LCM(75421,75437) = 5689533977

Least Common Multiple (LCM) of 75421 and 75437 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75421 and 75437. First we will calculate the prime factors of 75421 and 75437.

Prime Factorization of 75421

Prime Factorization of 75437

Now multiplying the highest exponent prime factors to calculate the LCM of 75421 and 75437.

LCM(75421,75437) = 199¹ × 379¹ × 75437¹
LCM(75421,75437) = 5689533977