What is the Least Common Multiple of 59890 and 59895?

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 59890 and 59895 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59890 and 59895, than apply into the LCM equation.

GCF(59890,59895) = 5
LCM(59890,59895) = ( 59890 × 59895) / 5
LCM(59890,59895) = 3587111550 / 5
LCM(59890,59895) = 717422310

Least Common Multiple (LCM) of 59890 and 59895 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59890 and 59895. First we will calculate the prime factors of 59890 and 59895.

Prime Factorization of 59890

Prime Factorization of 59895

Now multiplying the highest exponent prime factors to calculate the LCM of 59890 and 59895.

LCM(59890,59895) = 2¹ × 5¹ × 53¹ × 113¹ × 3² × 11³
LCM(59890,59895) = 717422310