What is the Least Common Multiple of 52374 and 52387?

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 52374 and 52387 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52374 and 52387, than apply into the LCM equation.

GCF(52374,52387) = 1
LCM(52374,52387) = ( 52374 × 52387) / 1
LCM(52374,52387) = 2743716738 / 1
LCM(52374,52387) = 2743716738

Least Common Multiple (LCM) of 52374 and 52387 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52374 and 52387. First we will calculate the prime factors of 52374 and 52387.

Prime Factorization of 52374

Prime Factorization of 52387

Now multiplying the highest exponent prime factors to calculate the LCM of 52374 and 52387.

LCM(52374,52387) = 2¹ × 3¹ × 7¹ × 29¹ × 43¹ × 52387¹
LCM(52374,52387) = 2743716738