What is the Least Common Multiple of 49539 and 49546?

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 49539 and 49546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49539 and 49546, than apply into the LCM equation.

GCF(49539,49546) = 7
LCM(49539,49546) = ( 49539 × 49546) / 7
LCM(49539,49546) = 2454459294 / 7
LCM(49539,49546) = 350637042

Least Common Multiple (LCM) of 49539 and 49546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49539 and 49546. First we will calculate the prime factors of 49539 and 49546.

Prime Factorization of 49539

Prime Factorization of 49546

Now multiplying the highest exponent prime factors to calculate the LCM of 49539 and 49546.

LCM(49539,49546) = 3¹ × 7² × 337¹ × 2¹ × 3539¹
LCM(49539,49546) = 350637042