What is the Least Common Multiple of 95955 and 95974?
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 95955 and 95974 is 9209185170.
LCM(95955,95974) = 9209185170
Least Common Multiple of 95955 and 95974 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95955 and 95974, than apply into the LCM equation.
GCF(95955,95974) = 1
LCM(95955,95974) = ( 95955 × 95974) / 1
LCM(95955,95974) = 9209185170 / 1
LCM(95955,95974) = 9209185170
Least Common Multiple (LCM) of 95955 and 95974 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95955 and 95974. First we will calculate the prime factors of 95955 and 95974.
Prime Factorization of 95955
Prime factors of 95955 are 3, 5, 6397. Prime factorization of 95955 in exponential form is:
95955 = 31 × 51 × 63971
Prime Factorization of 95974
Prime factors of 95974 are 2, 47, 1021. Prime factorization of 95974 in exponential form is:
95974 = 21 × 471 × 10211
Now multiplying the highest exponent prime factors to calculate the LCM of 95955 and 95974.
LCM(95955,95974) = 31 × 51 × 63971 × 21 × 471 × 10211
LCM(95955,95974) = 9209185170
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