What is the Least Common Multiple of 77300 and 77305?

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 77300 and 77305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77300 and 77305, than apply into the LCM equation.

GCF(77300,77305) = 5
LCM(77300,77305) = ( 77300 × 77305) / 5
LCM(77300,77305) = 5975676500 / 5
LCM(77300,77305) = 1195135300

Least Common Multiple (LCM) of 77300 and 77305 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77300 and 77305. First we will calculate the prime factors of 77300 and 77305.

Prime Factorization of 77300

Prime Factorization of 77305

Now multiplying the highest exponent prime factors to calculate the LCM of 77300 and 77305.

LCM(77300,77305) = 2² × 5² × 773¹ × 15461¹
LCM(77300,77305) = 1195135300