What is the Least Common Multiple of 74219 and 74236?

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 74219 and 74236 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74219 and 74236, than apply into the LCM equation.

GCF(74219,74236) = 1
LCM(74219,74236) = ( 74219 × 74236) / 1
LCM(74219,74236) = 5509721684 / 1
LCM(74219,74236) = 5509721684

Least Common Multiple (LCM) of 74219 and 74236 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74219 and 74236. First we will calculate the prime factors of 74219 and 74236.

Prime Factorization of 74219

Prime Factorization of 74236

Now multiplying the highest exponent prime factors to calculate the LCM of 74219 and 74236.

LCM(74219,74236) = 74219¹ × 2² × 67¹ × 277¹
LCM(74219,74236) = 5509721684