What is the Least Common Multiple of 52219 and 52237?

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 52219 and 52237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52219 and 52237, than apply into the LCM equation.

GCF(52219,52237) = 1
LCM(52219,52237) = ( 52219 × 52237) / 1
LCM(52219,52237) = 2727763903 / 1
LCM(52219,52237) = 2727763903

Least Common Multiple (LCM) of 52219 and 52237 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52219 and 52237. First we will calculate the prime factors of 52219 and 52237.

Prime Factorization of 52219

Prime Factorization of 52237

Now multiplying the highest exponent prime factors to calculate the LCM of 52219 and 52237.

LCM(52219,52237) = 79¹ × 661¹ × 52237¹
LCM(52219,52237) = 2727763903