What is the Least Common Multiple of 65156 and 65175?
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 65156 and 65175 is 4246542300.
LCM(65156,65175) = 4246542300
Least Common Multiple of 65156 and 65175 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65156 and 65175, than apply into the LCM equation.
GCF(65156,65175) = 1
LCM(65156,65175) = ( 65156 × 65175) / 1
LCM(65156,65175) = 4246542300 / 1
LCM(65156,65175) = 4246542300
Least Common Multiple (LCM) of 65156 and 65175 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65156 and 65175. First we will calculate the prime factors of 65156 and 65175.
Prime Factorization of 65156
Prime factors of 65156 are 2, 7, 13, 179. Prime factorization of 65156 in exponential form is:
65156 = 22 × 71 × 131 × 1791
Prime Factorization of 65175
Prime factors of 65175 are 3, 5, 11, 79. Prime factorization of 65175 in exponential form is:
65175 = 31 × 52 × 111 × 791
Now multiplying the highest exponent prime factors to calculate the LCM of 65156 and 65175.
LCM(65156,65175) = 22 × 71 × 131 × 1791 × 31 × 52 × 111 × 791
LCM(65156,65175) = 4246542300
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