What is the Least Common Multiple of 73038 and 73054?

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 73038 and 73054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73038 and 73054, than apply into the LCM equation.

GCF(73038,73054) = 2
LCM(73038,73054) = ( 73038 × 73054) / 2
LCM(73038,73054) = 5335718052 / 2
LCM(73038,73054) = 2667859026

Least Common Multiple (LCM) of 73038 and 73054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73038 and 73054. First we will calculate the prime factors of 73038 and 73054.

Prime Factorization of 73038

Prime Factorization of 73054

Now multiplying the highest exponent prime factors to calculate the LCM of 73038 and 73054.

LCM(73038,73054) = 2¹ × 3¹ × 7¹ × 37¹ × 47¹ × 36527¹
LCM(73038,73054) = 2667859026