What is the Least Common Multiple of 58552 and 58565?

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 58552 and 58565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58552 and 58565, than apply into the LCM equation.

GCF(58552,58565) = 13
LCM(58552,58565) = ( 58552 × 58565) / 13
LCM(58552,58565) = 3429097880 / 13
LCM(58552,58565) = 263776760

Least Common Multiple (LCM) of 58552 and 58565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58552 and 58565. First we will calculate the prime factors of 58552 and 58565.

Prime Factorization of 58552

Prime Factorization of 58565

Now multiplying the highest exponent prime factors to calculate the LCM of 58552 and 58565.

LCM(58552,58565) = 2³ × 13¹ × 563¹ × 5¹ × 17¹ × 53¹
LCM(58552,58565) = 263776760