What is the Least Common Multiple of 59892 and 59897?

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 59892 and 59897 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59892 and 59897, than apply into the LCM equation.

GCF(59892,59897) = 1
LCM(59892,59897) = ( 59892 × 59897) / 1
LCM(59892,59897) = 3587351124 / 1
LCM(59892,59897) = 3587351124

Least Common Multiple (LCM) of 59892 and 59897 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59892 and 59897. First we will calculate the prime factors of 59892 and 59897.

Prime Factorization of 59892

Prime Factorization of 59897

Now multiplying the highest exponent prime factors to calculate the LCM of 59892 and 59897.

LCM(59892,59897) = 2² × 3¹ × 7¹ × 23¹ × 31¹ × 89¹ × 673¹
LCM(59892,59897) = 3587351124