What is the Least Common Multiple of 42654 and 42673?

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 42654 and 42673 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42654 and 42673, than apply into the LCM equation.

GCF(42654,42673) = 1
LCM(42654,42673) = ( 42654 × 42673) / 1
LCM(42654,42673) = 1820174142 / 1
LCM(42654,42673) = 1820174142

Least Common Multiple (LCM) of 42654 and 42673 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42654 and 42673. First we will calculate the prime factors of 42654 and 42673.

Prime Factorization of 42654

Prime Factorization of 42673

Now multiplying the highest exponent prime factors to calculate the LCM of 42654 and 42673.

LCM(42654,42673) = 2¹ × 3¹ × 7109¹ × 139¹ × 307¹
LCM(42654,42673) = 1820174142