What is the Least Common Multiple of 49940 and 49945?

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 49940 and 49945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49940 and 49945, than apply into the LCM equation.

GCF(49940,49945) = 5
LCM(49940,49945) = ( 49940 × 49945) / 5
LCM(49940,49945) = 2494253300 / 5
LCM(49940,49945) = 498850660

Least Common Multiple (LCM) of 49940 and 49945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49940 and 49945. First we will calculate the prime factors of 49940 and 49945.

Prime Factorization of 49940

Prime Factorization of 49945

Now multiplying the highest exponent prime factors to calculate the LCM of 49940 and 49945.

LCM(49940,49945) = 2² × 5¹ × 11¹ × 227¹ × 7¹ × 1427¹
LCM(49940,49945) = 498850660