What is the Least Common Multiple of 62538 and 62545?

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 62545 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 62545, than apply into the LCM equation.

GCF(62538,62545) = 7
LCM(62538,62545) = ( 62538 × 62545) / 7
LCM(62538,62545) = 3911439210 / 7
LCM(62538,62545) = 558777030

Least Common Multiple (LCM) of 62538 and 62545 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62538 and 62545. First we will calculate the prime factors of 62538 and 62545.

Prime Factorization of 62538

Prime Factorization of 62545

Now multiplying the highest exponent prime factors to calculate the LCM of 62538 and 62545.

LCM(62538,62545) = 2¹ × 3¹ × 7¹ × 1489¹ × 5¹ × 1787¹
LCM(62538,62545) = 558777030