What is the Least Common Multiple of 95262 and 95282?
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 95262 and 95282 is 4538376942.
LCM(95262,95282) = 4538376942
Least Common Multiple of 95262 and 95282 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95262 and 95282, than apply into the LCM equation.
GCF(95262,95282) = 2
LCM(95262,95282) = ( 95262 × 95282) / 2
LCM(95262,95282) = 9076753884 / 2
LCM(95262,95282) = 4538376942
Least Common Multiple (LCM) of 95262 and 95282 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95262 and 95282. First we will calculate the prime factors of 95262 and 95282.
Prime Factorization of 95262
Prime factors of 95262 are 2, 3, 15877. Prime factorization of 95262 in exponential form is:
95262 = 21 × 31 × 158771
Prime Factorization of 95282
Prime factors of 95282 are 2, 11, 61, 71. Prime factorization of 95282 in exponential form is:
95282 = 21 × 111 × 611 × 711
Now multiplying the highest exponent prime factors to calculate the LCM of 95262 and 95282.
LCM(95262,95282) = 21 × 31 × 158771 × 111 × 611 × 711
LCM(95262,95282) = 4538376942
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