What is the Least Common Multiple of 48432 and 48448?

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 48432 and 48448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48432 and 48448, than apply into the LCM equation.

GCF(48432,48448) = 16
LCM(48432,48448) = ( 48432 × 48448) / 16
LCM(48432,48448) = 2346433536 / 16
LCM(48432,48448) = 146652096

Least Common Multiple (LCM) of 48432 and 48448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48432 and 48448. First we will calculate the prime factors of 48432 and 48448.

Prime Factorization of 48432

Prime Factorization of 48448

Now multiplying the highest exponent prime factors to calculate the LCM of 48432 and 48448.

LCM(48432,48448) = 2⁶ × 3¹ × 1009¹ × 757¹
LCM(48432,48448) = 146652096