What is the Least Common Multiple of 56208 and 56221?

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 56208 and 56221 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56208 and 56221, than apply into the LCM equation.

GCF(56208,56221) = 1
LCM(56208,56221) = ( 56208 × 56221) / 1
LCM(56208,56221) = 3160069968 / 1
LCM(56208,56221) = 3160069968

Least Common Multiple (LCM) of 56208 and 56221 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56208 and 56221. First we will calculate the prime factors of 56208 and 56221.

Prime Factorization of 56208

Prime Factorization of 56221

Now multiplying the highest exponent prime factors to calculate the LCM of 56208 and 56221.

LCM(56208,56221) = 2⁴ × 3¹ × 1171¹ × 11¹ × 19¹ × 269¹
LCM(56208,56221) = 3160069968