What is the Least Common Multiple of 45429 and 45435?

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 45429 and 45435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45429 and 45435, than apply into the LCM equation.

GCF(45429,45435) = 3
LCM(45429,45435) = ( 45429 × 45435) / 3
LCM(45429,45435) = 2064066615 / 3
LCM(45429,45435) = 688022205

Least Common Multiple (LCM) of 45429 and 45435 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45429 and 45435. First we will calculate the prime factors of 45429 and 45435.

Prime Factorization of 45429

Prime Factorization of 45435

Now multiplying the highest exponent prime factors to calculate the LCM of 45429 and 45435.

LCM(45429,45435) = 3¹ × 19¹ × 797¹ × 5¹ × 13¹ × 233¹
LCM(45429,45435) = 688022205