What is the Least Common Multiple of 1547 and 1567?

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 1547 and 1567 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1547 and 1567, than apply into the LCM equation.

GCF(1547,1567) = 1
LCM(1547,1567) = ( 1547 × 1567) / 1
LCM(1547,1567) = 2424149 / 1
LCM(1547,1567) = 2424149

Least Common Multiple (LCM) of 1547 and 1567 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1547 and 1567. First we will calculate the prime factors of 1547 and 1567.

Prime Factorization of 1547

Prime Factorization of 1567

Now multiplying the highest exponent prime factors to calculate the LCM of 1547 and 1567.

LCM(1547,1567) = 7¹ × 13¹ × 17¹ × 1567¹
LCM(1547,1567) = 2424149