What is the Least Common Multiple of 32251 and 32264?
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 32251 and 32264 is 1040546264.
LCM(32251,32264) = 1040546264
Least Common Multiple of 32251 and 32264 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32251 and 32264, than apply into the LCM equation.
GCF(32251,32264) = 1
LCM(32251,32264) = ( 32251 × 32264) / 1
LCM(32251,32264) = 1040546264 / 1
LCM(32251,32264) = 1040546264
Least Common Multiple (LCM) of 32251 and 32264 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 32251 and 32264. First we will calculate the prime factors of 32251 and 32264.
Prime Factorization of 32251
Prime factors of 32251 are 32251. Prime factorization of 32251 in exponential form is:
32251 = 322511
Prime Factorization of 32264
Prime factors of 32264 are 2, 37, 109. Prime factorization of 32264 in exponential form is:
32264 = 23 × 371 × 1091
Now multiplying the highest exponent prime factors to calculate the LCM of 32251 and 32264.
LCM(32251,32264) = 322511 × 23 × 371 × 1091
LCM(32251,32264) = 1040546264
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