What is the Least Common Multiple of 69991 and 69995?
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 69991 and 69995 is 4899020045.
LCM(69991,69995) = 4899020045
Least Common Multiple of 69991 and 69995 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69991 and 69995, than apply into the LCM equation.
GCF(69991,69995) = 1
LCM(69991,69995) = ( 69991 × 69995) / 1
LCM(69991,69995) = 4899020045 / 1
LCM(69991,69995) = 4899020045
Least Common Multiple (LCM) of 69991 and 69995 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 69991 and 69995. First we will calculate the prime factors of 69991 and 69995.
Prime Factorization of 69991
Prime factors of 69991 are 69991. Prime factorization of 69991 in exponential form is:
69991 = 699911
Prime Factorization of 69995
Prime factors of 69995 are 5, 13999. Prime factorization of 69995 in exponential form is:
69995 = 51 × 139991
Now multiplying the highest exponent prime factors to calculate the LCM of 69991 and 69995.
LCM(69991,69995) = 699911 × 51 × 139991
LCM(69991,69995) = 4899020045
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