What is the Least Common Multiple of 49088 and 49107?

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 49088 and 49107 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49088 and 49107, than apply into the LCM equation.

GCF(49088,49107) = 1
LCM(49088,49107) = ( 49088 × 49107) / 1
LCM(49088,49107) = 2410564416 / 1
LCM(49088,49107) = 2410564416

Least Common Multiple (LCM) of 49088 and 49107 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49088 and 49107. First we will calculate the prime factors of 49088 and 49107.

Prime Factorization of 49088

Prime Factorization of 49107

Now multiplying the highest exponent prime factors to calculate the LCM of 49088 and 49107.

LCM(49088,49107) = 2⁶ × 13¹ × 59¹ × 3¹ × 16369¹
LCM(49088,49107) = 2410564416