What is the Least Common Multiple of 42744 and 42760?

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 42744 and 42760 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42744 and 42760, than apply into the LCM equation.

GCF(42744,42760) = 8
LCM(42744,42760) = ( 42744 × 42760) / 8
LCM(42744,42760) = 1827733440 / 8
LCM(42744,42760) = 228466680

Least Common Multiple (LCM) of 42744 and 42760 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42744 and 42760. First we will calculate the prime factors of 42744 and 42760.

Prime Factorization of 42744

Prime Factorization of 42760

Now multiplying the highest exponent prime factors to calculate the LCM of 42744 and 42760.

LCM(42744,42760) = 2³ × 3¹ × 13¹ × 137¹ × 5¹ × 1069¹
LCM(42744,42760) = 228466680