What is the Least Common Multiple of 95220 and 95233?
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 95220 and 95233 is 9068086260.
LCM(95220,95233) = 9068086260
Least Common Multiple of 95220 and 95233 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95220 and 95233, than apply into the LCM equation.
GCF(95220,95233) = 1
LCM(95220,95233) = ( 95220 × 95233) / 1
LCM(95220,95233) = 9068086260 / 1
LCM(95220,95233) = 9068086260
Least Common Multiple (LCM) of 95220 and 95233 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95220 and 95233. First we will calculate the prime factors of 95220 and 95233.
Prime Factorization of 95220
Prime factors of 95220 are 2, 3, 5, 23. Prime factorization of 95220 in exponential form is:
95220 = 22 × 32 × 51 × 232
Prime Factorization of 95233
Prime factors of 95233 are 95233. Prime factorization of 95233 in exponential form is:
95233 = 952331
Now multiplying the highest exponent prime factors to calculate the LCM of 95220 and 95233.
LCM(95220,95233) = 22 × 32 × 51 × 232 × 952331
LCM(95220,95233) = 9068086260
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