What is the Least Common Multiple of 61074 and 61084?

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 61084 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 61084, than apply into the LCM equation.

GCF(61074,61084) = 2
LCM(61074,61084) = ( 61074 × 61084) / 2
LCM(61074,61084) = 3730644216 / 2
LCM(61074,61084) = 1865322108

Least Common Multiple (LCM) of 61074 and 61084 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61074 and 61084. First we will calculate the prime factors of 61074 and 61084.

Prime Factorization of 61074

Prime Factorization of 61084

Now multiplying the highest exponent prime factors to calculate the LCM of 61074 and 61084.

LCM(61074,61084) = 2² × 3⁴ × 13¹ × 29¹ × 15271¹
LCM(61074,61084) = 1865322108