What is the Least Common Multiple of 69764 and 69776?
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 69764 and 69776 is 1216963216.
LCM(69764,69776) = 1216963216
Least Common Multiple of 69764 and 69776 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69764 and 69776, than apply into the LCM equation.
GCF(69764,69776) = 4
LCM(69764,69776) = ( 69764 × 69776) / 4
LCM(69764,69776) = 4867852864 / 4
LCM(69764,69776) = 1216963216
Least Common Multiple (LCM) of 69764 and 69776 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 69764 and 69776. First we will calculate the prime factors of 69764 and 69776.
Prime Factorization of 69764
Prime factors of 69764 are 2, 107, 163. Prime factorization of 69764 in exponential form is:
69764 = 22 × 1071 × 1631
Prime Factorization of 69776
Prime factors of 69776 are 2, 7, 89. Prime factorization of 69776 in exponential form is:
69776 = 24 × 72 × 891
Now multiplying the highest exponent prime factors to calculate the LCM of 69764 and 69776.
LCM(69764,69776) = 24 × 1071 × 1631 × 72 × 891
LCM(69764,69776) = 1216963216
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Related Least Common Multiples of 69776
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