What is the Least Common Multiple of 52224 and 52244?

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 52224 and 52244 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52224 and 52244, than apply into the LCM equation.

GCF(52224,52244) = 4
LCM(52224,52244) = ( 52224 × 52244) / 4
LCM(52224,52244) = 2728390656 / 4
LCM(52224,52244) = 682097664

Least Common Multiple (LCM) of 52224 and 52244 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52224 and 52244. First we will calculate the prime factors of 52224 and 52244.

Prime Factorization of 52224

Prime Factorization of 52244

Now multiplying the highest exponent prime factors to calculate the LCM of 52224 and 52244.

LCM(52224,52244) = 2¹⁰ × 3¹ × 17¹ × 37¹ × 353¹
LCM(52224,52244) = 682097664