What is the Least Common Multiple of 95243 and 95250?
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 95243 and 95250 is 9071895750.
LCM(95243,95250) = 9071895750
Least Common Multiple of 95243 and 95250 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95243 and 95250, than apply into the LCM equation.
GCF(95243,95250) = 1
LCM(95243,95250) = ( 95243 × 95250) / 1
LCM(95243,95250) = 9071895750 / 1
LCM(95243,95250) = 9071895750
Least Common Multiple (LCM) of 95243 and 95250 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95243 and 95250. First we will calculate the prime factors of 95243 and 95250.
Prime Factorization of 95243
Prime factors of 95243 are 23, 41, 101. Prime factorization of 95243 in exponential form is:
95243 = 231 × 411 × 1011
Prime Factorization of 95250
Prime factors of 95250 are 2, 3, 5, 127. Prime factorization of 95250 in exponential form is:
95250 = 21 × 31 × 53 × 1271
Now multiplying the highest exponent prime factors to calculate the LCM of 95243 and 95250.
LCM(95243,95250) = 231 × 411 × 1011 × 21 × 31 × 53 × 1271
LCM(95243,95250) = 9071895750
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