What is the Least Common Multiple of 71456 and 71465?

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 71456 and 71465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71456 and 71465, than apply into the LCM equation.

GCF(71456,71465) = 1
LCM(71456,71465) = ( 71456 × 71465) / 1
LCM(71456,71465) = 5106603040 / 1
LCM(71456,71465) = 5106603040

Least Common Multiple (LCM) of 71456 and 71465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71456 and 71465. First we will calculate the prime factors of 71456 and 71465.

Prime Factorization of 71456

Prime Factorization of 71465

Now multiplying the highest exponent prime factors to calculate the LCM of 71456 and 71465.

LCM(71456,71465) = 2⁵ × 7¹ × 11¹ × 29¹ × 5¹ × 14293¹
LCM(71456,71465) = 5106603040