What is the Least Common Multiple of 70193 and 70208?
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 70193 and 70208 is 4928110144.
LCM(70193,70208) = 4928110144
Least Common Multiple of 70193 and 70208 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70193 and 70208, than apply into the LCM equation.
GCF(70193,70208) = 1
LCM(70193,70208) = ( 70193 × 70208) / 1
LCM(70193,70208) = 4928110144 / 1
LCM(70193,70208) = 4928110144
Least Common Multiple (LCM) of 70193 and 70208 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 70193 and 70208. First we will calculate the prime factors of 70193 and 70208.
Prime Factorization of 70193
Prime factors of 70193 are 17, 4129. Prime factorization of 70193 in exponential form is:
70193 = 171 × 41291
Prime Factorization of 70208
Prime factors of 70208 are 2, 1097. Prime factorization of 70208 in exponential form is:
70208 = 26 × 10971
Now multiplying the highest exponent prime factors to calculate the LCM of 70193 and 70208.
LCM(70193,70208) = 171 × 41291 × 26 × 10971
LCM(70193,70208) = 4928110144
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