What is the Least Common Multiple of 69992 and 70002?
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 69992 and 70002 is 2449789992.
LCM(69992,70002) = 2449789992
Least Common Multiple of 69992 and 70002 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69992 and 70002, than apply into the LCM equation.
GCF(69992,70002) = 2
LCM(69992,70002) = ( 69992 × 70002) / 2
LCM(69992,70002) = 4899579984 / 2
LCM(69992,70002) = 2449789992
Least Common Multiple (LCM) of 69992 and 70002 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 69992 and 70002. First we will calculate the prime factors of 69992 and 70002.
Prime Factorization of 69992
Prime factors of 69992 are 2, 13, 673. Prime factorization of 69992 in exponential form is:
69992 = 23 × 131 × 6731
Prime Factorization of 70002
Prime factors of 70002 are 2, 3, 3889. Prime factorization of 70002 in exponential form is:
70002 = 21 × 32 × 38891
Now multiplying the highest exponent prime factors to calculate the LCM of 69992 and 70002.
LCM(69992,70002) = 23 × 131 × 6731 × 32 × 38891
LCM(69992,70002) = 2449789992
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