What is the Least Common Multiple of 74319 and 74339?

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 74319 and 74339 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74319 and 74339, than apply into the LCM equation.

GCF(74319,74339) = 1
LCM(74319,74339) = ( 74319 × 74339) / 1
LCM(74319,74339) = 5524800141 / 1
LCM(74319,74339) = 5524800141

Least Common Multiple (LCM) of 74319 and 74339 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74319 and 74339. First we will calculate the prime factors of 74319 and 74339.

Prime Factorization of 74319

Prime Factorization of 74339

Now multiplying the highest exponent prime factors to calculate the LCM of 74319 and 74339.

LCM(74319,74339) = 3¹ × 7¹ × 3539¹ × 79¹ × 941¹
LCM(74319,74339) = 5524800141