What is the Least Common Multiple of 56789 and 56801?

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 56789 and 56801 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56789 and 56801, than apply into the LCM equation.

GCF(56789,56801) = 1
LCM(56789,56801) = ( 56789 × 56801) / 1
LCM(56789,56801) = 3225671989 / 1
LCM(56789,56801) = 3225671989

Least Common Multiple (LCM) of 56789 and 56801 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56789 and 56801. First we will calculate the prime factors of 56789 and 56801.

Prime Factorization of 56789

Prime Factorization of 56801

Now multiplying the highest exponent prime factors to calculate the LCM of 56789 and 56801.

LCM(56789,56801) = 109¹ × 521¹ × 79¹ × 719¹
LCM(56789,56801) = 3225671989