What is the Least Common Multiple of 95369 and 95376?
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 95369 and 95376 is 9095913744.
LCM(95369,95376) = 9095913744
Least Common Multiple of 95369 and 95376 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95369 and 95376, than apply into the LCM equation.
GCF(95369,95376) = 1
LCM(95369,95376) = ( 95369 × 95376) / 1
LCM(95369,95376) = 9095913744 / 1
LCM(95369,95376) = 9095913744
Least Common Multiple (LCM) of 95369 and 95376 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95369 and 95376. First we will calculate the prime factors of 95369 and 95376.
Prime Factorization of 95369
Prime factors of 95369 are 95369. Prime factorization of 95369 in exponential form is:
95369 = 953691
Prime Factorization of 95376
Prime factors of 95376 are 2, 3, 1987. Prime factorization of 95376 in exponential form is:
95376 = 24 × 31 × 19871
Now multiplying the highest exponent prime factors to calculate the LCM of 95369 and 95376.
LCM(95369,95376) = 953691 × 24 × 31 × 19871
LCM(95369,95376) = 9095913744
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