What is the Least Common Multiple of 61674 and 61689?

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 61674 and 61689 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61674 and 61689, than apply into the LCM equation.

GCF(61674,61689) = 3
LCM(61674,61689) = ( 61674 × 61689) / 3
LCM(61674,61689) = 3804607386 / 3
LCM(61674,61689) = 1268202462

Least Common Multiple (LCM) of 61674 and 61689 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61674 and 61689. First we will calculate the prime factors of 61674 and 61689.

Prime Factorization of 61674

Prime Factorization of 61689

Now multiplying the highest exponent prime factors to calculate the LCM of 61674 and 61689.

LCM(61674,61689) = 2¹ × 3¹ × 19¹ × 541¹ × 20563¹
LCM(61674,61689) = 1268202462