What is the Least Common Multiple of 74224 and 74230?

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 74224 and 74230 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74224 and 74230, than apply into the LCM equation.

GCF(74224,74230) = 2
LCM(74224,74230) = ( 74224 × 74230) / 2
LCM(74224,74230) = 5509647520 / 2
LCM(74224,74230) = 2754823760

Least Common Multiple (LCM) of 74224 and 74230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74224 and 74230. First we will calculate the prime factors of 74224 and 74230.

Prime Factorization of 74224

Prime Factorization of 74230

Now multiplying the highest exponent prime factors to calculate the LCM of 74224 and 74230.

LCM(74224,74230) = 2⁴ × 4639¹ × 5¹ × 13¹ × 571¹
LCM(74224,74230) = 2754823760