What is the Least Common Multiple of 70037 and 70050?
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 70037 and 70050 is 4906091850.
LCM(70037,70050) = 4906091850
Least Common Multiple of 70037 and 70050 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70037 and 70050, than apply into the LCM equation.
GCF(70037,70050) = 1
LCM(70037,70050) = ( 70037 × 70050) / 1
LCM(70037,70050) = 4906091850 / 1
LCM(70037,70050) = 4906091850
Least Common Multiple (LCM) of 70037 and 70050 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 70037 and 70050. First we will calculate the prime factors of 70037 and 70050.
Prime Factorization of 70037
Prime factors of 70037 are 11, 6367. Prime factorization of 70037 in exponential form is:
70037 = 111 × 63671
Prime Factorization of 70050
Prime factors of 70050 are 2, 3, 5, 467. Prime factorization of 70050 in exponential form is:
70050 = 21 × 31 × 52 × 4671
Now multiplying the highest exponent prime factors to calculate the LCM of 70037 and 70050.
LCM(70037,70050) = 111 × 63671 × 21 × 31 × 52 × 4671
LCM(70037,70050) = 4906091850
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