What is the Least Common Multiple of 72945 and 72954?

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 72945 and 72954 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72945 and 72954, than apply into the LCM equation.

GCF(72945,72954) = 9
LCM(72945,72954) = ( 72945 × 72954) / 9
LCM(72945,72954) = 5321629530 / 9
LCM(72945,72954) = 591292170

Least Common Multiple (LCM) of 72945 and 72954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72945 and 72954. First we will calculate the prime factors of 72945 and 72954.

Prime Factorization of 72945

Prime Factorization of 72954

Now multiplying the highest exponent prime factors to calculate the LCM of 72945 and 72954.

LCM(72945,72954) = 3³ × 5¹ × 1621¹ × 2¹ × 7¹ × 193¹
LCM(72945,72954) = 591292170