What is the Least Common Multiple of 95501 and 95505?
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 95501 and 95505 is 9120823005.
LCM(95501,95505) = 9120823005
Least Common Multiple of 95501 and 95505 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95501 and 95505, than apply into the LCM equation.
GCF(95501,95505) = 1
LCM(95501,95505) = ( 95501 × 95505) / 1
LCM(95501,95505) = 9120823005 / 1
LCM(95501,95505) = 9120823005
Least Common Multiple (LCM) of 95501 and 95505 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95501 and 95505. First we will calculate the prime factors of 95501 and 95505.
Prime Factorization of 95501
Prime factors of 95501 are 7, 1949. Prime factorization of 95501 in exponential form is:
95501 = 72 × 19491
Prime Factorization of 95505
Prime factors of 95505 are 3, 5, 6367. Prime factorization of 95505 in exponential form is:
95505 = 31 × 51 × 63671
Now multiplying the highest exponent prime factors to calculate the LCM of 95501 and 95505.
LCM(95501,95505) = 72 × 19491 × 31 × 51 × 63671
LCM(95501,95505) = 9120823005
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