What is the Least Common Multiple of 45663 and 45669?

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 45663 and 45669 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45663 and 45669, than apply into the LCM equation.

GCF(45663,45669) = 3
LCM(45663,45669) = ( 45663 × 45669) / 3
LCM(45663,45669) = 2085383547 / 3
LCM(45663,45669) = 695127849

Least Common Multiple (LCM) of 45663 and 45669 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45663 and 45669. First we will calculate the prime factors of 45663 and 45669.

Prime Factorization of 45663

Prime Factorization of 45669

Now multiplying the highest exponent prime factors to calculate the LCM of 45663 and 45669.

LCM(45663,45669) = 3¹ × 31¹ × 491¹ × 13¹ × 1171¹
LCM(45663,45669) = 695127849