What is the Least Common Multiple of 65964 and 65968?

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 65964 and 65968 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65964 and 65968, than apply into the LCM equation.

GCF(65964,65968) = 4
LCM(65964,65968) = ( 65964 × 65968) / 4
LCM(65964,65968) = 4351513152 / 4
LCM(65964,65968) = 1087878288

Least Common Multiple (LCM) of 65964 and 65968 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65964 and 65968. First we will calculate the prime factors of 65964 and 65968.

Prime Factorization of 65964

Prime Factorization of 65968

Now multiplying the highest exponent prime factors to calculate the LCM of 65964 and 65968.

LCM(65964,65968) = 2⁴ × 3¹ × 23¹ × 239¹ × 7¹ × 19¹ × 31¹
LCM(65964,65968) = 1087878288