What is the Least Common Multiple of 52354 and 52374?

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 52354 and 52374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52354 and 52374, than apply into the LCM equation.

GCF(52354,52374) = 2
LCM(52354,52374) = ( 52354 × 52374) / 2
LCM(52354,52374) = 2741988396 / 2
LCM(52354,52374) = 1370994198

Least Common Multiple (LCM) of 52354 and 52374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52354 and 52374. First we will calculate the prime factors of 52354 and 52374.

Prime Factorization of 52354

Prime Factorization of 52374

Now multiplying the highest exponent prime factors to calculate the LCM of 52354 and 52374.

LCM(52354,52374) = 2¹ × 26177¹ × 3¹ × 7¹ × 29¹ × 43¹
LCM(52354,52374) = 1370994198