What is the Least Common Multiple of 49548 and 49562?

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 49548 and 49562 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49548 and 49562, than apply into the LCM equation.

GCF(49548,49562) = 2
LCM(49548,49562) = ( 49548 × 49562) / 2
LCM(49548,49562) = 2455697976 / 2
LCM(49548,49562) = 1227848988

Least Common Multiple (LCM) of 49548 and 49562 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49548 and 49562. First we will calculate the prime factors of 49548 and 49562.

Prime Factorization of 49548

Prime Factorization of 49562

Now multiplying the highest exponent prime factors to calculate the LCM of 49548 and 49562.

LCM(49548,49562) = 2² × 3¹ × 4129¹ × 24781¹
LCM(49548,49562) = 1227848988