What is the Least Common Multiple of 95537 and 95542?
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 95537 and 95542 is 9127796054.
LCM(95537,95542) = 9127796054
Least Common Multiple of 95537 and 95542 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95537 and 95542, than apply into the LCM equation.
GCF(95537,95542) = 1
LCM(95537,95542) = ( 95537 × 95542) / 1
LCM(95537,95542) = 9127796054 / 1
LCM(95537,95542) = 9127796054
Least Common Multiple (LCM) of 95537 and 95542 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95537 and 95542. First we will calculate the prime factors of 95537 and 95542.
Prime Factorization of 95537
Prime factors of 95537 are 13, 7349. Prime factorization of 95537 in exponential form is:
95537 = 131 × 73491
Prime Factorization of 95542
Prime factors of 95542 are 2, 23, 31, 67. Prime factorization of 95542 in exponential form is:
95542 = 21 × 231 × 311 × 671
Now multiplying the highest exponent prime factors to calculate the LCM of 95537 and 95542.
LCM(95537,95542) = 131 × 73491 × 21 × 231 × 311 × 671
LCM(95537,95542) = 9127796054
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