What is the Least Common Multiple of 70688 and 70693?
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 70688 and 70693 is 4997146784.
LCM(70688,70693) = 4997146784
Least Common Multiple of 70688 and 70693 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70688 and 70693, than apply into the LCM equation.
GCF(70688,70693) = 1
LCM(70688,70693) = ( 70688 × 70693) / 1
LCM(70688,70693) = 4997146784 / 1
LCM(70688,70693) = 4997146784
Least Common Multiple (LCM) of 70688 and 70693 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 70688 and 70693. First we will calculate the prime factors of 70688 and 70693.
Prime Factorization of 70688
Prime factors of 70688 are 2, 47. Prime factorization of 70688 in exponential form is:
70688 = 25 × 472
Prime Factorization of 70693
Prime factors of 70693 are 7, 10099. Prime factorization of 70693 in exponential form is:
70693 = 71 × 100991
Now multiplying the highest exponent prime factors to calculate the LCM of 70688 and 70693.
LCM(70688,70693) = 25 × 472 × 71 × 100991
LCM(70688,70693) = 4997146784
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