What is the Least Common Multiple of 50448 and 50462?

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 50448 and 50462 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50448 and 50462, than apply into the LCM equation.

GCF(50448,50462) = 2
LCM(50448,50462) = ( 50448 × 50462) / 2
LCM(50448,50462) = 2545706976 / 2
LCM(50448,50462) = 1272853488

Least Common Multiple (LCM) of 50448 and 50462 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50448 and 50462. First we will calculate the prime factors of 50448 and 50462.

Prime Factorization of 50448

Prime Factorization of 50462

Now multiplying the highest exponent prime factors to calculate the LCM of 50448 and 50462.

LCM(50448,50462) = 2⁴ × 3¹ × 1051¹ × 23¹ × 1097¹
LCM(50448,50462) = 1272853488