GCF and LCM Calculator Logo

What is the Least Common Multiple of 65964 and 65972?

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 (LCM) of 65964 and 65972 is 1087944252.

LCM(65964,65972) = 1087944252

LCM Calculator and
and

Least Common Multiple of 65964 and 65972 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 65972, than apply into the LCM equation.

GCF(65964,65972) = 4
LCM(65964,65972) = ( 65964 × 65972) / 4
LCM(65964,65972) = 4351777008 / 4
LCM(65964,65972) = 1087944252

Least Common Multiple (LCM) of 65964 and 65972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65964 and 65972. First we will calculate the prime factors of 65964 and 65972.

Prime Factorization of 65964

Prime factors of 65964 are 2, 3, 23, 239. Prime factorization of 65964 in exponential form is:

65964 = 22 × 31 × 231 × 2391

Prime Factorization of 65972

Prime factors of 65972 are 2, 16493. Prime factorization of 65972 in exponential form is:

65972 = 22 × 164931

Now multiplying the highest exponent prime factors to calculate the LCM of 65964 and 65972.

LCM(65964,65972) = 22 × 31 × 231 × 2391 × 164931
LCM(65964,65972) = 1087944252