What is the Least Common Multiple of 95962 and 95967?
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 95962 and 95967 is 9209185254.
LCM(95962,95967) = 9209185254
Least Common Multiple of 95962 and 95967 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95962 and 95967, than apply into the LCM equation.
GCF(95962,95967) = 1
LCM(95962,95967) = ( 95962 × 95967) / 1
LCM(95962,95967) = 9209185254 / 1
LCM(95962,95967) = 9209185254
Least Common Multiple (LCM) of 95962 and 95967 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95962 and 95967. First we will calculate the prime factors of 95962 and 95967.
Prime Factorization of 95962
Prime factors of 95962 are 2, 47981. Prime factorization of 95962 in exponential form is:
95962 = 21 × 479811
Prime Factorization of 95967
Prime factors of 95967 are 3, 10663. Prime factorization of 95967 in exponential form is:
95967 = 32 × 106631
Now multiplying the highest exponent prime factors to calculate the LCM of 95962 and 95967.
LCM(95962,95967) = 21 × 479811 × 32 × 106631
LCM(95962,95967) = 9209185254
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