What is the Least Common Multiple of 61050 and 61067?

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 61050 and 61067 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61050 and 61067, than apply into the LCM equation.

GCF(61050,61067) = 1
LCM(61050,61067) = ( 61050 × 61067) / 1
LCM(61050,61067) = 3728140350 / 1
LCM(61050,61067) = 3728140350

Least Common Multiple (LCM) of 61050 and 61067 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61050 and 61067. First we will calculate the prime factors of 61050 and 61067.

Prime Factorization of 61050

Prime Factorization of 61067

Now multiplying the highest exponent prime factors to calculate the LCM of 61050 and 61067.

LCM(61050,61067) = 2¹ × 3¹ × 5² × 11¹ × 37¹ × 79¹ × 773¹
LCM(61050,61067) = 3728140350