What is the Least Common Multiple of 62538 and 62550?

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 62538 and 62550 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62538 and 62550, than apply into the LCM equation.

GCF(62538,62550) = 6
LCM(62538,62550) = ( 62538 × 62550) / 6
LCM(62538,62550) = 3911751900 / 6
LCM(62538,62550) = 651958650

Least Common Multiple (LCM) of 62538 and 62550 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62538 and 62550. First we will calculate the prime factors of 62538 and 62550.

Prime Factorization of 62538

Prime Factorization of 62550

Now multiplying the highest exponent prime factors to calculate the LCM of 62538 and 62550.

LCM(62538,62550) = 2¹ × 3² × 7¹ × 1489¹ × 5² × 139¹
LCM(62538,62550) = 651958650