What is the Least Common Multiple of 61053 and 61062?

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 61053 and 61062 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61053 and 61062, than apply into the LCM equation.

GCF(61053,61062) = 3
LCM(61053,61062) = ( 61053 × 61062) / 3
LCM(61053,61062) = 3728018286 / 3
LCM(61053,61062) = 1242672762

Least Common Multiple (LCM) of 61053 and 61062 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61053 and 61062. First we will calculate the prime factors of 61053 and 61062.

Prime Factorization of 61053

Prime Factorization of 61062

Now multiplying the highest exponent prime factors to calculate the LCM of 61053 and 61062.

LCM(61053,61062) = 3¹ × 47¹ × 433¹ × 2¹ × 10177¹
LCM(61053,61062) = 1242672762