What is the Least Common Multiple of 95651 and 95662?
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 95651 and 95662 is 9150165962.
LCM(95651,95662) = 9150165962
Least Common Multiple of 95651 and 95662 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95651 and 95662, than apply into the LCM equation.
GCF(95651,95662) = 1
LCM(95651,95662) = ( 95651 × 95662) / 1
LCM(95651,95662) = 9150165962 / 1
LCM(95651,95662) = 9150165962
Least Common Multiple (LCM) of 95651 and 95662 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95651 and 95662. First we will calculate the prime factors of 95651 and 95662.
Prime Factorization of 95651
Prime factors of 95651 are 95651. Prime factorization of 95651 in exponential form is:
95651 = 956511
Prime Factorization of 95662
Prime factors of 95662 are 2, 7, 6833. Prime factorization of 95662 in exponential form is:
95662 = 21 × 71 × 68331
Now multiplying the highest exponent prime factors to calculate the LCM of 95651 and 95662.
LCM(95651,95662) = 956511 × 21 × 71 × 68331
LCM(95651,95662) = 9150165962
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