What is the Least Common Multiple of 73749 and 73768?

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 73749 and 73768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73749 and 73768, than apply into the LCM equation.

GCF(73749,73768) = 1
LCM(73749,73768) = ( 73749 × 73768) / 1
LCM(73749,73768) = 5440316232 / 1
LCM(73749,73768) = 5440316232

Least Common Multiple (LCM) of 73749 and 73768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73749 and 73768. First we will calculate the prime factors of 73749 and 73768.

Prime Factorization of 73749

Prime Factorization of 73768

Now multiplying the highest exponent prime factors to calculate the LCM of 73749 and 73768.

LCM(73749,73768) = 3¹ × 13¹ × 31¹ × 61¹ × 2³ × 9221¹
LCM(73749,73768) = 5440316232