What is the Least Common Multiple of 61068 and 61074?

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 61068 and 61074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61068 and 61074, than apply into the LCM equation.

GCF(61068,61074) = 6
LCM(61068,61074) = ( 61068 × 61074) / 6
LCM(61068,61074) = 3729667032 / 6
LCM(61068,61074) = 621611172

Least Common Multiple (LCM) of 61068 and 61074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61068 and 61074. First we will calculate the prime factors of 61068 and 61074.

Prime Factorization of 61068

Prime Factorization of 61074

Now multiplying the highest exponent prime factors to calculate the LCM of 61068 and 61074.

LCM(61068,61074) = 2² × 3⁴ × 7¹ × 727¹ × 13¹ × 29¹
LCM(61068,61074) = 621611172