What is the Least Common Multiple of 56441 and 56455?

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 56441 and 56455 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56441 and 56455, than apply into the LCM equation.

GCF(56441,56455) = 7
LCM(56441,56455) = ( 56441 × 56455) / 7
LCM(56441,56455) = 3186376655 / 7
LCM(56441,56455) = 455196665

Least Common Multiple (LCM) of 56441 and 56455 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56441 and 56455. First we will calculate the prime factors of 56441 and 56455.

Prime Factorization of 56441

Prime Factorization of 56455

Now multiplying the highest exponent prime factors to calculate the LCM of 56441 and 56455.

LCM(56441,56455) = 7¹ × 11¹ × 733¹ × 5¹ × 1613¹
LCM(56441,56455) = 455196665