What is the Least Common Multiple of 95662 and 95670?
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 95662 and 95670 is 4575991770.
LCM(95662,95670) = 4575991770
Least Common Multiple of 95662 and 95670 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95662 and 95670, than apply into the LCM equation.
GCF(95662,95670) = 2
LCM(95662,95670) = ( 95662 × 95670) / 2
LCM(95662,95670) = 9151983540 / 2
LCM(95662,95670) = 4575991770
Least Common Multiple (LCM) of 95662 and 95670 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95662 and 95670. First we will calculate the prime factors of 95662 and 95670.
Prime Factorization of 95662
Prime factors of 95662 are 2, 7, 6833. Prime factorization of 95662 in exponential form is:
95662 = 21 × 71 × 68331
Prime Factorization of 95670
Prime factors of 95670 are 2, 3, 5, 1063. Prime factorization of 95670 in exponential form is:
95670 = 21 × 32 × 51 × 10631
Now multiplying the highest exponent prime factors to calculate the LCM of 95662 and 95670.
LCM(95662,95670) = 21 × 71 × 68331 × 32 × 51 × 10631
LCM(95662,95670) = 4575991770
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