What is the Least Common Multiple of 99747 and 99757?

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 99747 and 99757 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99747 and 99757, than apply into the LCM equation.

GCF(99747,99757) = 1
LCM(99747,99757) = ( 99747 × 99757) / 1
LCM(99747,99757) = 9950461479 / 1
LCM(99747,99757) = 9950461479

Least Common Multiple (LCM) of 99747 and 99757 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99747 and 99757. First we will calculate the prime factors of 99747 and 99757.

Prime Factorization of 99747

Prime Factorization of 99757

Now multiplying the highest exponent prime factors to calculate the LCM of 99747 and 99757.

LCM(99747,99757) = 3² × 11083¹ × 7¹ × 14251¹
LCM(99747,99757) = 9950461479