What is the Least Common Multiple of 62538 and 62546?

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 62546 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 62546, than apply into the LCM equation.

GCF(62538,62546) = 2
LCM(62538,62546) = ( 62538 × 62546) / 2
LCM(62538,62546) = 3911501748 / 2
LCM(62538,62546) = 1955750874

Least Common Multiple (LCM) of 62538 and 62546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62538 and 62546. First we will calculate the prime factors of 62538 and 62546.

Prime Factorization of 62538

Prime Factorization of 62546

Now multiplying the highest exponent prime factors to calculate the LCM of 62538 and 62546.

LCM(62538,62546) = 2¹ × 3¹ × 7¹ × 1489¹ × 11¹ × 2843¹
LCM(62538,62546) = 1955750874