What is the Least Common Multiple of 60654 and 60670?

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 60654 and 60670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60654 and 60670, than apply into the LCM equation.

GCF(60654,60670) = 2
LCM(60654,60670) = ( 60654 × 60670) / 2
LCM(60654,60670) = 3679878180 / 2
LCM(60654,60670) = 1839939090

Least Common Multiple (LCM) of 60654 and 60670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60654 and 60670. First we will calculate the prime factors of 60654 and 60670.

Prime Factorization of 60654

Prime Factorization of 60670

Now multiplying the highest exponent prime factors to calculate the LCM of 60654 and 60670.

LCM(60654,60670) = 2¹ × 3¹ × 11¹ × 919¹ × 5¹ × 6067¹
LCM(60654,60670) = 1839939090