What is the Least Common Multiple of 45435 and 45448?

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 45435 and 45448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45435 and 45448, than apply into the LCM equation.

GCF(45435,45448) = 13
LCM(45435,45448) = ( 45435 × 45448) / 13
LCM(45435,45448) = 2064929880 / 13
LCM(45435,45448) = 158840760

Least Common Multiple (LCM) of 45435 and 45448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45435 and 45448. First we will calculate the prime factors of 45435 and 45448.

Prime Factorization of 45435

Prime Factorization of 45448

Now multiplying the highest exponent prime factors to calculate the LCM of 45435 and 45448.

LCM(45435,45448) = 3¹ × 5¹ × 13¹ × 233¹ × 2³ × 19¹ × 23¹
LCM(45435,45448) = 158840760