What is the Least Common Multiple of 90740 and 90753?

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 90740 and 90753 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90740 and 90753, than apply into the LCM equation.

GCF(90740,90753) = 13
LCM(90740,90753) = ( 90740 × 90753) / 13
LCM(90740,90753) = 8234927220 / 13
LCM(90740,90753) = 633455940

Least Common Multiple (LCM) of 90740 and 90753 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90740 and 90753. First we will calculate the prime factors of 90740 and 90753.

Prime Factorization of 90740

Prime Factorization of 90753

Now multiplying the highest exponent prime factors to calculate the LCM of 90740 and 90753.

LCM(90740,90753) = 2² × 5¹ × 13² × 349¹ × 3¹ × 179¹
LCM(90740,90753) = 633455940