What is the Least Common Multiple of 60450 and 60466?

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 60450 and 60466 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60450 and 60466, than apply into the LCM equation.

GCF(60450,60466) = 2
LCM(60450,60466) = ( 60450 × 60466) / 2
LCM(60450,60466) = 3655169700 / 2
LCM(60450,60466) = 1827584850

Least Common Multiple (LCM) of 60450 and 60466 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60450 and 60466. First we will calculate the prime factors of 60450 and 60466.

Prime Factorization of 60450

Prime Factorization of 60466

Now multiplying the highest exponent prime factors to calculate the LCM of 60450 and 60466.

LCM(60450,60466) = 2¹ × 3¹ × 5² × 13¹ × 31¹ × 7² × 617¹
LCM(60450,60466) = 1827584850