What is the Least Common Multiple of 66825 and 66834?

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 66825 and 66834 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66825 and 66834, than apply into the LCM equation.

GCF(66825,66834) = 9
LCM(66825,66834) = ( 66825 × 66834) / 9
LCM(66825,66834) = 4466182050 / 9
LCM(66825,66834) = 496242450

Least Common Multiple (LCM) of 66825 and 66834 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66825 and 66834. First we will calculate the prime factors of 66825 and 66834.

Prime Factorization of 66825

Prime Factorization of 66834

Now multiplying the highest exponent prime factors to calculate the LCM of 66825 and 66834.

LCM(66825,66834) = 3⁵ × 5² × 11¹ × 2¹ × 47¹ × 79¹
LCM(66825,66834) = 496242450