What is the Least Common Multiple of 62374 and 62394?

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 62374 and 62394 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62374 and 62394, than apply into the LCM equation.

GCF(62374,62394) = 2
LCM(62374,62394) = ( 62374 × 62394) / 2
LCM(62374,62394) = 3891763356 / 2
LCM(62374,62394) = 1945881678

Least Common Multiple (LCM) of 62374 and 62394 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62374 and 62394. First we will calculate the prime factors of 62374 and 62394.

Prime Factorization of 62374

Prime Factorization of 62394

Now multiplying the highest exponent prime factors to calculate the LCM of 62374 and 62394.

LCM(62374,62394) = 2¹ × 13¹ × 2399¹ × 3¹ × 10399¹
LCM(62374,62394) = 1945881678