What is the Least Common Multiple of 49044 and 49050?

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 49044 and 49050 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49044 and 49050, than apply into the LCM equation.

GCF(49044,49050) = 6
LCM(49044,49050) = ( 49044 × 49050) / 6
LCM(49044,49050) = 2405608200 / 6
LCM(49044,49050) = 400934700

Least Common Multiple (LCM) of 49044 and 49050 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49044 and 49050. First we will calculate the prime factors of 49044 and 49050.

Prime Factorization of 49044

Prime Factorization of 49050

Now multiplying the highest exponent prime factors to calculate the LCM of 49044 and 49050.

LCM(49044,49050) = 2² × 3² × 61¹ × 67¹ × 5² × 109¹
LCM(49044,49050) = 400934700