What is the Least Common Multiple of 61074 and 61083?

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 61074 and 61083 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61074 and 61083, than apply into the LCM equation.

GCF(61074,61083) = 9
LCM(61074,61083) = ( 61074 × 61083) / 9
LCM(61074,61083) = 3730583142 / 9
LCM(61074,61083) = 414509238

Least Common Multiple (LCM) of 61074 and 61083 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61074 and 61083. First we will calculate the prime factors of 61074 and 61083.

Prime Factorization of 61074

Prime Factorization of 61083

Now multiplying the highest exponent prime factors to calculate the LCM of 61074 and 61083.

LCM(61074,61083) = 2¹ × 3⁴ × 13¹ × 29¹ × 11¹ × 617¹
LCM(61074,61083) = 414509238