What is the Least Common Multiple of 52370 and 52382?

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 52370 and 52382 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52370 and 52382, than apply into the LCM equation.

GCF(52370,52382) = 2
LCM(52370,52382) = ( 52370 × 52382) / 2
LCM(52370,52382) = 2743245340 / 2
LCM(52370,52382) = 1371622670

Least Common Multiple (LCM) of 52370 and 52382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52370 and 52382. First we will calculate the prime factors of 52370 and 52382.

Prime Factorization of 52370

Prime Factorization of 52382

Now multiplying the highest exponent prime factors to calculate the LCM of 52370 and 52382.

LCM(52370,52382) = 2¹ × 5¹ × 5237¹ × 11¹ × 2381¹
LCM(52370,52382) = 1371622670