What is the Least Common Multiple of 73038 and 73057?

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 73057 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 73057, than apply into the LCM equation.

GCF(73038,73057) = 1
LCM(73038,73057) = ( 73038 × 73057) / 1
LCM(73038,73057) = 5335937166 / 1
LCM(73038,73057) = 5335937166

Least Common Multiple (LCM) of 73038 and 73057 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73038 and 73057. First we will calculate the prime factors of 73038 and 73057.

Prime Factorization of 73038

Prime Factorization of 73057

Now multiplying the highest exponent prime factors to calculate the LCM of 73038 and 73057.

LCM(73038,73057) = 2¹ × 3¹ × 7¹ × 37¹ × 47¹ × 43¹ × 1699¹
LCM(73038,73057) = 5335937166