What is the Least Common Multiple of 73541 and 73561?

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 73541 and 73561 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73541 and 73561, than apply into the LCM equation.

GCF(73541,73561) = 1
LCM(73541,73561) = ( 73541 × 73561) / 1
LCM(73541,73561) = 5409749501 / 1
LCM(73541,73561) = 5409749501

Least Common Multiple (LCM) of 73541 and 73561 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73541 and 73561. First we will calculate the prime factors of 73541 and 73561.

Prime Factorization of 73541

Prime Factorization of 73561

Now multiplying the highest exponent prime factors to calculate the LCM of 73541 and 73561.

LCM(73541,73561) = 13¹ × 5657¹ × 73561¹
LCM(73541,73561) = 5409749501