What is the Least Common Multiple of 4219 and 4236?

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 4219 and 4236 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4219 and 4236, than apply into the LCM equation.

GCF(4219,4236) = 1
LCM(4219,4236) = ( 4219 × 4236) / 1
LCM(4219,4236) = 17871684 / 1
LCM(4219,4236) = 17871684

Least Common Multiple (LCM) of 4219 and 4236 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4219 and 4236. First we will calculate the prime factors of 4219 and 4236.

Prime Factorization of 4219

Prime Factorization of 4236

Now multiplying the highest exponent prime factors to calculate the LCM of 4219 and 4236.

LCM(4219,4236) = 4219¹ × 2² × 3¹ × 353¹
LCM(4219,4236) = 17871684