What is the Least Common Multiple of 40534 and 40547?

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 40534 and 40547 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40534 and 40547, than apply into the LCM equation.

GCF(40534,40547) = 13
LCM(40534,40547) = ( 40534 × 40547) / 13
LCM(40534,40547) = 1643532098 / 13
LCM(40534,40547) = 126425546

Least Common Multiple (LCM) of 40534 and 40547 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40534 and 40547. First we will calculate the prime factors of 40534 and 40547.

Prime Factorization of 40534

Prime Factorization of 40547

Now multiplying the highest exponent prime factors to calculate the LCM of 40534 and 40547.

LCM(40534,40547) = 2¹ × 13¹ × 1559¹ × 3119¹
LCM(40534,40547) = 126425546