What is the Least Common Multiple of 40530 and 40546?

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 40530 and 40546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40530 and 40546, than apply into the LCM equation.

GCF(40530,40546) = 2
LCM(40530,40546) = ( 40530 × 40546) / 2
LCM(40530,40546) = 1643329380 / 2
LCM(40530,40546) = 821664690

Least Common Multiple (LCM) of 40530 and 40546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40530 and 40546. First we will calculate the prime factors of 40530 and 40546.

Prime Factorization of 40530

Prime Factorization of 40546

Now multiplying the highest exponent prime factors to calculate the LCM of 40530 and 40546.

LCM(40530,40546) = 2¹ × 3¹ × 5¹ × 7¹ × 193¹ × 11¹ × 19¹ × 97¹
LCM(40530,40546) = 821664690