What is the Least Common Multiple of 61074 and 61079?

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 61079 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 61079, than apply into the LCM equation.

GCF(61074,61079) = 1
LCM(61074,61079) = ( 61074 × 61079) / 1
LCM(61074,61079) = 3730338846 / 1
LCM(61074,61079) = 3730338846

Least Common Multiple (LCM) of 61074 and 61079 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61074 and 61079. First we will calculate the prime factors of 61074 and 61079.

Prime Factorization of 61074

Prime Factorization of 61079

Now multiplying the highest exponent prime factors to calculate the LCM of 61074 and 61079.

LCM(61074,61079) = 2¹ × 3⁴ × 13¹ × 29¹ × 103¹ × 593¹
LCM(61074,61079) = 3730338846